3 citations · 5 across the 4 of their papers we have counts for
4 papers
Tangles of type and a reducibility criterion for the Cohen-Wales representation of the Artin group of type
Claire I. Levaillant
We introduce tangles of type and construct a representation of the Birman-Murakami-Wenzl algebra (BMW algebra) of type . As a representation of the Artin group of type $…
Classification of the invariant subspaces of the Cohen-Wales representation of the Artin group of type
Claire I. Levaillant
Recently, Cohen and Wales built a faithful linear representation of the Artin group of type , hence showing the linearity of this group. It was later discovered that this repr…
Reducibility of the Cohen-Wales representation of the Artin group of type
Claire I. Levaillant
Using knot theory, we construct a linear representation of the CGW algebra of type . This representation has degree , the number of positive roots of a root system of t…
Classification of the invariant subspaces of the Lawrence-Krammer representation
Claire I. Levaillant
The Lawrence-Krammer representation was used in to show the linearity of the braid group. The problem had remained open for many years. The fact that the Lawrence-Krammer re…